图上的非局部交叉相互作用系统:能源景观和动力学

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2022-04-20 DOI:10.3934/krm.2023008

G. Heinze, Jan-Frederik Pietschmann, M. Schmidtchen

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引用次数: 5

摘要

我们探讨了有限图上非局部相互作用的两种模型的动力学行为和能量性质。作者最近在具有非线性移动的广义图上的非二次芬斯勒梯度流的背景下引入了该模型。在连续和局部环境中，这类系统表现出各种各样的模式，包括两种物质的混合、部分吞没或相分离。这项工作展示了这种丰富的行为如何延续到图结构中。我们提出了分析和数值证据。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Nonlocal cross-interaction systems on graphs: Energy landscape and dynamics

We explore the dynamical behavior and energetic properties of a model of two species that interact nonlocally on finite graphs. The authors recently introduced the model in the context of nonquadratic Finslerian gradient flows on generalized graphs featuring nonlinear mobilities. In a continuous and local setting, this class of systems exhibits a wide variety of patterns, including mixing of the two species, partial engulfment, or phase separation. This work showcases how this rich behavior carries over to the graph structure. We present analytical and numerical evidence thereof.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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